GCD of 501, 407, 643, 428 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 501, 407, 643, 428 i.e. 1 largest integer that divides all the numbers equally.

GCD of 501, 407, 643, 428 is 1

GCD(501, 407, 643, 428) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 501, 407, 643, 428 is 1

GCD(501, 407, 643, 428) = 1

GCD of 501,407,643,428 Calculator

GCDof 501,407,643,428 is 1

Given Input numbers are 501, 407, 643, 428

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Greatest Common Divisior

We found the divisors of 501, 407, 643, 428 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 501, 407, 643, 428 is 1.

Therefore, GCD of numbers 501, 407, 643, 428 is 1

Finding GCD of 501, 407, 643, 428 using Prime Factorization

Given Input Data is 501, 407, 643, 428

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 501 is 3 x 167

Prime Factorization of 407 is 11 x 37

Prime Factorization of 643 is 643

Prime Factorization of 428 is 2 x 2 x 107

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 501, 407, 643, 428 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(501, 407) = 203907

GCD(501, 407) = ( 501 x 407 ) / 203907

GCD(501, 407) = 203907 / 203907

GCD(501, 407) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 643

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 643) = 643

GCD(1, 643) = ( 1 x 643 ) / 643

GCD(1, 643) = 643 / 643

GCD(1, 643) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 428

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 428) = 428

GCD(1, 428) = ( 1 x 428 ) / 428

GCD(1, 428) = 428 / 428

GCD(1, 428) = 1

GCD of 501, 407, 643, 428 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 501, 407, 643, 428

1. What is the GCD of 501, 407, 643, 428?

GCD of 501, 407, 643, 428 is 1


2. Where do I get the detailed procedure to find GCD of 501, 407, 643, 428?

You can find a detailed procedure to find GCD of 501, 407, 643, 428 on our page.


3. How to find GCD of 501, 407, 643, 428 on a calculator?

You can find the GCD of 501, 407, 643, 428 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.